122121011010001 has 2 divisors, whose sum is σ = 122121011010002. Its totient is φ = 122121011010000.

The previous prime is 122121011009951. The next prime is 122121011010077. The reversal of 122121011010001 is 100010110121221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118157965262401 + 3963045747600 = 10870049^2 + 1990740^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121011010001 - 2¹¹ = 122121011007953 is a prime.

It is not a weakly prime, because it can be changed into another prime (122121011010301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060505505000 + 61060505505001.

It is an arithmetic number, because the mean of its divisors is an integer number (61060505505001).

Almost surely, 2^{122121011010001} is an apocalyptic number.

It is an amenable number.

122121011010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121011010001 is an equidigital number, since it uses as much as digits as its factorization.

122121011010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122121011010001 its reverse (100010110121221), we get a palindrome (222131121131222).

The spelling of 122121011010001 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, eleven million, ten thousand, one".